Chiral perturbation theory to one loop
J. Gasser,Heinrich Leutwyler +1 more
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TLDR
In this article, the low energy representation of several Green's functions and form factors and of the na scattering amplitude are calculated in terms of a few constants, which may be identified with the coupling constants of a unique effective low energy Lagrangian.About:
This article is published in Annals of Physics.The article was published on 1984-11-01 and is currently open access. It has received 3277 citations till now. The article focuses on the topics: Pion decay constant & Chiral perturbation theory.read more
Citations
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Effective-Lagrangian approach to the theory of pion photoproduction in the Delta (1232) region.
TL;DR: In this paper, the authors investigated theoretical uncertainties and model dependence in the extraction of the nucleon-{Delta}(1232) electromagnetic transition amplitudes from the multipole data base.
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Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
TL;DR: In this article, a two-parameter fit is performed on the Compton data up to omega(lab)=170 MeV and a new fit to the deuteron data.
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The pion: an enigma within the Standard Model
TL;DR: In this article, the pion's leading-twist parton distribution amplitude has been studied in the context of dynamical chiral symmetry breaking (DCSB) and its relationship to confinement and DCSB.
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Signatures of three-nucleon interactions in few-nucleon systems
TL;DR: In this article, both theoretical and experimental achievements of the past decade will be underlined, and it will be shown that despite the major successes in describing these seemingly simple systems, there are still clear discrepancies between data and state-of-the-art calculations.
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From chiral random matrix theory to chiral perturbation theory
TL;DR: In this article, the spectrum of the QCD Dirac operator was studied by means of the valence quark mass dependence of the chiral condensate in partially quenched Chiral Perturbation Theory (pqChPT) in the supersymmetric formulation of Bernard and Golterman.
References
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On gauge invariance and vacuum polarization
TL;DR: In this paper, it was shown that the extraction of gauge invariants from a formally gauge invariant theory is ensured if one employs methods of solution that involve only gauge covariant quantities.
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Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II
Yoichiro Nambu,G. Jona-Lasinio +1 more
TL;DR: In this paper, a superconductive solution describing the proton-neutron doublet is obtained from a nonlinear spinor field Lagrangian, and the pions of finite mass are found as nucleon-antinucleon bound states by introducing a small bare mass into the Lagrangians which otherwise possesses a certain type of the ∆-ensuremath{gamma{5}$ invariance.
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QCD and resonance physics. theoretical foundations
TL;DR: In this paper, a systematic study is made of the non-perturbative effects in quantum chromodynamics, where the basic object is the two-point functions of various currents and the terms of this series are shown to be of two distinct types.
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Axial vector vertex in spinor electrodynamics
TL;DR: In this article, the axial-vector vertex in spinor electrodynamics has anomalous properties which differ with those found by the formal manipulation of field equations, and the divergence of axial vector current is not the usual expression calculated from the field equations.
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Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark
Jürg Gasser,Heinrich Leutwyler +1 more
TL;DR: In this paper, the authors construct the generating functional of U(3)×U(3), which allows them to calculate the Green functions up to and including terms of order p4 (at fixed radio m quark p 2 ) in terms of a few coupling constants which chiral symmetry leaves undetermined.